数学物理学报(英文版)

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SOME PROPERTIES OF MULTIPLE TAYLOR SERIES AND RANDOM TAYLOR SERIES

余家荣   

  1. 武汉大学数学与统计学院, 武汉 430072
  • 收稿日期:2006-05-16 修回日期:1900-01-01 出版日期:2006-07-20 发布日期:2006-07-20
  • 通讯作者: 余家荣

SOME PROPERTIES OF MULTIPLE TAYLOR SERIES AND RANDOM TAYLOR SERIES

Yu Jiarong   

  1. School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China
  • Received:2006-05-16 Revised:1900-01-01 Online:2006-07-20 Published:2006-07-20
  • Contact: Yu Jiarong

摘要:

Some polar coordinates are used to determine the domain and the ball of convergence of a multiple Taylor series. In this domain and in this ball the series converges, converges absolutely and converges uniformly on any compact set. Growth and other properties of the series may also be studied. For some random multiple Taylor series there are some corresponding properties.

关键词: Polar coordinates, multiple Taylor series, random Taylor series

Abstract:

Some polar coordinates are used to determine the domain and the ball of convergence of a multiple Taylor series. In this domain and in this ball the series converges, converges absolutely and converges uniformly on any compact set. Growth and other properties of the series may also be studied. For some random multiple Taylor series there are some corresponding properties.

Key words: Polar coordinates, multiple Taylor series, random Taylor series

中图分类号: 

  • 32A05